We're dividing 34601 by 14 
Our goal is to divide 34601 by 14.

Step 1:
14 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 14

Step 2:
34 divided by 14 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 28 from 34, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 14

Advancing to step 3:
When dividing 66 by 14, we get 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 24.0
If we take 56 away from 66, we end up with 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 14

Step 4:
When dividing 100 by 14, we get 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 247.0
If we subtract 98 from 100, we get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 14

Step 5:
21 divided by 14 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 2471.0
If we subtract 14 from 21, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 6:
14 goes into 70 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 2471.5
The remainder is 0 after subtracting 70 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
14 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 2471.5
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
14 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 2471.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 2471.5, and the remainder is 0.0.